Kimura-finiteness of quadric fibrations over smooth curves
Making use of the recent theory of noncommutative mixed motives, we prove that the Voevodsky's mixed motive of a quadric fibration over a smooth curve is Kimura-finite.
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| Format: | Article |
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Elsevier
2018
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| Online Access: | http://hdl.handle.net/1721.1/116037 https://orcid.org/0000-0001-5558-9236 |
| _version_ | 1826194045001531392 |
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| author | Trigo Neri Tabuada, Goncalo Jorge |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Trigo Neri Tabuada, Goncalo Jorge |
| author_sort | Trigo Neri Tabuada, Goncalo Jorge |
| collection | MIT |
| description | Making use of the recent theory of noncommutative mixed motives, we prove that the Voevodsky's mixed motive of a quadric fibration over a smooth curve is Kimura-finite. |
| first_indexed | 2024-09-23T09:49:38Z |
| format | Article |
| id | mit-1721.1/116037 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T09:49:38Z |
| publishDate | 2018 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | mit-1721.1/1160372022-09-30T17:06:28Z Kimura-finiteness of quadric fibrations over smooth curves Trigo Neri Tabuada, Goncalo Jorge Massachusetts Institute of Technology. Department of Mathematics Trigo Neri Tabuada, Goncalo Jorge Making use of the recent theory of noncommutative mixed motives, we prove that the Voevodsky's mixed motive of a quadric fibration over a smooth curve is Kimura-finite. 2018-06-01T15:28:49Z 2018-06-01T15:28:49Z 2018-06-01 2018-05-31T15:52:14Z Article http://purl.org/eprint/type/JournalArticle 1631-073X http://hdl.handle.net/1721.1/116037 Tabuada, Gonçalo. “Kimura-Finiteness of Quadric Fibrations over Smooth Curves.” Comptes Rendus Mathematique 355, 6 (June 2017): 628–632 © 2017 Académie des sciences https://orcid.org/0000-0001-5558-9236 http://dx.doi.org/10.1016/J.CRMA.2017.05.006 Comptes Rendus Mathematique Creative Commons Attribution-NonCommercial-NoDerivs License http://creativecommons.org/licenses/by-nc-nd/4.0/ application/pdf Elsevier arXiv |
| spellingShingle | Trigo Neri Tabuada, Goncalo Jorge Kimura-finiteness of quadric fibrations over smooth curves |
| title | Kimura-finiteness of quadric fibrations over smooth curves |
| title_full | Kimura-finiteness of quadric fibrations over smooth curves |
| title_fullStr | Kimura-finiteness of quadric fibrations over smooth curves |
| title_full_unstemmed | Kimura-finiteness of quadric fibrations over smooth curves |
| title_short | Kimura-finiteness of quadric fibrations over smooth curves |
| title_sort | kimura finiteness of quadric fibrations over smooth curves |
| url | http://hdl.handle.net/1721.1/116037 https://orcid.org/0000-0001-5558-9236 |
| work_keys_str_mv | AT trigoneritabuadagoncalojorge kimurafinitenessofquadricfibrationsoversmoothcurves |